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Recent questions tagged gate2013-ce
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GATE Civil 2013 | Question: 64
A firm is selling its product at Rs. $60$ per unit. The total cost of production is Rs. $100$ and firm is earning total profit of Rs. $500$. Later, the total cost increased by $30\%.$ By what percentage the price should be increased to maintain the same profit level. $5$ $10$ $15$ $30$
A firm is selling its product at Rs. $60$ per unit. The total cost of production is Rs. $100$ and firm is earning total profit of Rs. $500$. Later, the total cost increas...
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Quantitative Aptitude
gate2013-ce
numerical-ability
profit-loss
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2
GATE Civil 2013 | Question: 65
Abhishek is elder to Savar. Savar is younger to Anshul. Which of the given conclusions is logically valid and is inferred from the above statements? Abhishek is elder to Anshul Anshul is elder to Abhishek Abhishek and Anshul are of the same age No conclusion follows
Abhishek is elder to Savar.Savar is younger to Anshul.Which of the given conclusions is logically valid and is inferred from the above statements?Abhishek is elder to Ans...
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Analytical Aptitude
gate2013-ce
analytical-aptitude
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3
GATE Civil 2013 | Question: 63
Following table provides figures(in rupees) on annual expenditure of a firm for two years -$2010$ and $2011$ ... and Salary & wages. Salary & wages and Advertising. Power & fuel and Advertising. Raw material and research & Development.
Following table provides figures(in rupees) on annual expenditure of a firm for two years -$2010$ and $2011$.$$\begin{array}{|l|r|r|} \hline \textbf{Category} & \textbf{2...
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Quantitative Aptitude
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numerical-ability
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4
GATE Civil 2013 | Question: 62
If $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is: $2, 1/3$ $1/2, 3$ $3/2,9$ $2/3,9$
If $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is:$2, 1/3$$1/2, 3$$3/2,9$$2/3,9$
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Quantitative Aptitude
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numerical-ability
absolute-value
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5
GATE Civil 2013 | Question: 61
$X$ and $Y$ are two positive real numbers such that $2X+Y \leq 6$ and $X + 2Y \leq 8$. For which of the following values of $(X,Y)$ the function $f(X,Y)=3X + 6Y$ will give maximum value ? $\left(\dfrac{4}{3} , \dfrac{10}{3}\right) \\$ ... $\left(\dfrac{8}{3} , \dfrac{10}{3}\right) \\$ $\left(\dfrac{4}{3} , \dfrac{20}{3}\right)$
$X$ and $Y$ are two positive real numbers such that $2X+Y \leq 6$ and $X + 2Y \leq 8$. For which of the following values of $(X,Y)$ the function $f(X,Y)=3X + 6Y$ will gi...
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Quantitative Aptitude
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numerical-ability
inequality
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1
answer
6
GATE Civil 2013 | Question: 60
Select the pair that best expresses a relationship similar to that expressed in the pair: $\text{Medicine: Health}$ Science: Experiment Wealth: Peace Education: Knowledge Money: Happiness
Select the pair that best expresses a relationship similar to that expressed in the pair:$\text{Medicine: Health}$Science: ExperimentWealth: PeaceEducation: KnowledgeMone...
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Verbal Aptitude
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verbal-ability
word-pairs
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7
GATE Civil 2013 | Question: 59
Friendship, no matter how _________it is, has its limitations. cordial intimate secret pleasant
Friendship, no matter how _________it is, has its limitations.cordialintimatesecretpleasant
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Verbal Aptitude
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verbal-ability
most-appropriate-word
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8
GATE Civil 2013 | Question: 58
Which of the following options is the closest in meaning to the word given below: $\textbf{Primeval}$ Modern Historic Primitive Antique
Which of the following options is the closest in meaning to the word given below: $\textbf{Primeval}$ModernHistoricPrimitiveAntique
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Verbal Aptitude
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9
GATE Civil 2013 | Question: 57
$\underset{I}{\underline{\text{The professor }}} \underset{II}{\underline{\text{ ordered to }}} \underset{III}{\underline{\text{ the student to go }}} \underset{IV}{\underline{\text{ out of the class}}}$ Which of the above underlined parts of the sentence is grammatically incorrect? I II III IV
$\underset{I}{\underline{\text{The professor }}} \underset{II}{\underline{\text{ ordered to }}} \underset{III}{\underline{\text{ the student to go }}} \underset{IV}{...
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Verbal Aptitude
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verbal-ability
english-grammar
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GATE Civil 2013 | Question: 55
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assume that the $\phi$ – index is the same for the both the storms. The intensity of storm II (in cm/h) is $2.00$ $1.75$ $1.50$ $2.25$
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assu...
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Hydrology
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water-resources-engineering
hydrology
surface-runoff-models
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11
GATE Civil 2013 | Question: 53
A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground water table is at the surface. The foundation consists of the basement slab of $6$ ... and rigidity corrections, the immediate settlement of the dense sand layer will be $58$ mm $111$ mm $126$ mm $179$ mm
A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground wate...
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Foundation Engineering
gate2013-ce
foundation-engineering
geotechnical-engineering
effect-of-water-table
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0
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12
GATE Civil 2013 | Question: 52
A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground water table is at the surface. The foundation consists of the basement slab of $6$ m width which ... safety $=3$, the net safe bearing capacity (in $kN/m^2$) of the foundation is $610$ $320$ $983$ $693$
A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground wate...
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Foundation Engineering
gate2013-ce
geotechnical-engineering
foundation-engineering
effect-of-water-table
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0
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13
GATE Civil 2013 | Question: 54
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assume that the $\phi$ – index is the same for the both the storms. The $\phi$ – index (in cm/h) is $1.2$ $1.0$ $1.6$ $1.4$
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assu...
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Hydrology
gate2013-ce
water-resources-engineering
hydrology
surface-runoff-models
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14
GATE Civil 2013 | Question: 56
A number is as much greater than $75$ as it is smaller than $117$. The number is: $91$ $93$ $89$ $96$
A number is as much greater than $75$ as it is smaller than $117$. The number is:$91$$93$$89$$96$
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Quantitative Aptitude
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numerical-ability
numerical-computation
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GATE Civil 2013 | Question: 51
For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a vehicle travelling at $90$ kmph based on the following conditions. headlight sight ... ; and beam angle $1^{\circ}$. What is the length of valley curve (in m) based on the comfort condition? __________
For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a ve...
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Calculus
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numerical-answers
calculus
gradient
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16
GATE Civil 2013 | Question: 50
For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a vehicle travelling at $90$ kmph based on the following conditions. headlight ... $1^{\circ}$. What is the length of valley curve (in m) based on the head light sight distance condition? ___________
For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a ve...
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Calculus
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numerical-answers
calculus
gradient
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17
GATE Civil 2013 | Question: 44
Elevation and temperature data for a place are tabulated below: $\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \hline 444 & 15.70 \\ \hline \end{array}$ Based on the above data, lapse rate can be referred as Super-adiabatic Neutral Sub-adiabatic Inversion
Elevation and temperature data for a place are tabulated below:$$\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \...
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Construction Materials and Management
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rate-analysis
construction-materials-and-management
structural-engineering
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GATE Civil 2013 | Question: 46
Following bearings are observed while traversing with a compass ... fore bearing of line BC will be $48^{\circ} 15'$ $50^{\circ} 15'$ $49^{\circ} 45'$ $48^{\circ} 45'$
Following bearings are observed while traversing with a compass$\begin{array}{rrr} \text{Line} & \text{Fore Bearing} & \text{back Bearing} \\ AB & 126^{\circ} 45’ & 308...
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Geomatics Engineering
gate2013-ce
geomatics-engineering
traversing
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GATE Civil 2013 | Question: 45
The percent voids in mineral aggregate (VMA) and percent air voids $(V_v)$ in a compacted cylindrical bituminous mix specimen are $15$ and $4.5$ respectively. The percent voids filled with bitumen (VFB) for this specimen is: $24$ $30$ $54$ $70$
The percent voids in mineral aggregate (VMA) and percent air voids $(V_v)$ in a compacted cylindrical bituminous mix specimen are $15$ and $4.5$ respectively. The percent...
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Transportation Engineering
gate2013-ce
high-way-pavements
transportation-engineering
bituminous-mix
bitumen
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votes
0
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GATE Civil 2013 | Question: 47
A theodolite is set up at station A and a $3$ m long staff is held vertically at station B. The depression angle reading at $2.5$ m marking on the staff is $6^{\circ}10'$. The horizontal distance between A and B is $2200$ m. Height of instrument ... m and R.L. of A is $880.88$ m. Apply the curvature and refraction correction, and determine the RL of B (in m) _______
A theodolite is set up at station A and a $3$ m long staff is held vertically at station B. The depression angle reading at $2.5$ m marking on the staff is $6^{\circ}10�...
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Geomatics Engineering
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numerical-answers
geomatics-engineering
horizontal-and-vertical-curves
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21
GATE Civil 2013 | Question: 48
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If load $P=80$ kN, find the reaction $R$ (in kN) correct to $1$-decimal place) using elastic analysis ________
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If load $P=80$ kN, find the reaction $R$ (in kN) correct to...
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Steel Structures
gate2013-ce
numerical-answers
steel-structures
structural-engineering
steel-beam
elastic-analysis
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0
votes
0
answers
22
GATE Civil 2013 | Question: 49
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown. If the magnitude of load $P$ is increased till collapse and the plastic moment carrying capacity of steel beam section is $90$ kNm, determine reaction $R$ (in kN) (correct to $1$-decimal place) using plastic analysis _______
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If the magnitude of load $P$ is increased till collapse and...
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Steel Structures
gate2013-ce
numerical-answers
steel-structures
structural-engineering
steel-beam
plastic-analysis
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0
votes
0
answers
23
GATE Civil 2013 | Question: 43
A student began experiment for determination of $5$-day, $20^{\circ}C$ BOD on Monday. Since the $5$th day fell on Saturday, the final DO readings were taken on next Monday. On calculation, BOD (i.e. $7$ day, $20^{\circ}C$ was found to be $150$ ... )? Assume value of BOD rate constant $(k)$ at standard temperature of $20^{\circ}C$ as $0.23/day$ (base $e$). ___________
A student began experiment for determination of $5$-day, $20^{\circ}C$ BOD on Monday. Since the $5$th day fell on Saturday, the final DO readings were taken on next Monda...
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Water and Waste Water Quality and Treatment
gate2013-ce
numerical-answers
environmental-engineering
water-and-waste-water-quality-and-treatment
biological-oxygen-demand
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–
0
votes
0
answers
24
GATE Civil 2013 | Question: 42
A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \dfrac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particles $=2.65$, density of water $(\rho) =1000 \: kg/m^3$, dynamic viscosity of ... The approximate minimum size of particles that would be completely removed is $0.01$ mm $0.02$ mm $0.03$ mm $0.04$ mm
A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \dfrac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particle...
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Water and Waste Water Quality and Treatment
gate2013-ce
water-treatment-plant
water-and-waste-water-quality-and-treatment
environmental-engineering
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–
0
votes
0
answers
25
GATE Civil 2013 | Question: 40
The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is $20.1$ $15.4$ $10.5$ $17.2$
The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is$20.1$$15.4$$10.5$$17.2$
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Hydraulics
gate2013-ce
water-resources-engineering
hydraulics
flow-measurement-in-channels
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–
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0
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26
GATE Civil 2013 | Question: 39
A $2$ km long pipe of $0.2$ m diameter connects two reservoirs. The difference between water levels in the reservoirs is $8$ m. The Darcy-Weisbachfriction factor of the pipe is $0.04$. Accounting for frictional, entry exit losses, the velocity in the pipe (in m/s) is $0.63$ $0.35$ $2.52$ $1.25$
A $2$ km long pipe of $0.2$ m diameter connects two reservoirs. The difference between water levels in the reservoirs is $8$ m. The Darcy-Weisbachfriction factor of the p...
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Hydrology
gate2013-ce
hydrology
water-resources-engineering
reservoirs
applications-of-darcys-law
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0
votes
0
answers
27
GATE Civil 2013 | Question: 38
Two different soil types (Soil $1$ an Soil $2$) are used as backfill behind a retaining wall as shown in the figure, where $\gamma_t$ is total unit weight, and $c’$ and $\phi’$ are effective cohesion and effective angle of shearing resistance. The resultant active earth forceper unit length (in kN/m) acting on the wall is $31.7$ $35.2$ $51.8$ $57.0$
Two different soil types (Soil $1$ an Soil $2$) are used as backfill behind a retaining wall as shown in the figure, where $\gamma_t$ is total unit weight, and $c’$ and...
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Soil Mechanics
gate2013-ce
soil-mechanics
geotechnical-engineering
total-shear
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0
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0
answers
28
GATE Civil 2013 | Question: 37
The soil profile above the rock surface for a $25^{\circ}$ infinite slope is shown in the figure, where $s_u$ is the undrained shear strength an $\gamma_t$ is total unit weight. The slip will occur at a depth of $8.83$ m $9.79$ m $7.83$ m $6.53$ m
The soil profile above the rock surface for a $25^{\circ}$ infinite slope is shown in the figure, where $s_u$ is the undrained shear strength an $\gamma_t$ is total unit ...
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Soil Mechanics
gate2013-ce
soil-mechanics
foundation-engineering
soil-profile
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–
0
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0
answers
29
GATE Civil 2013 | Question: 41
The transplantation of rice requires $10$ days and total depth of water required during transplantation is $48$ cm. During transplantation, there is an effective rainfall (useful for irrigation) of $8$ cm. The duty of irrigation water (in hectares/cumec) is $612$ $216$ $300$ $108$
The transplantation of rice requires $10$ days and total depth of water required during transplantation is $48$ cm. During transplantation, there is an effective rainfall...
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Irrigation
gate2013-ce
irrigation
water-resources-engineering
transplantation
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–
0
votes
0
answers
30
GATE Civil 2013 | Question: 32
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as shown. The vertical downward displacement, $\delta_q$, at the loaded point $Q$ is ... $\delta_q = \beta \bigg( \dfrac{WR^3}{EI} \bigg)$. Find the value of $\beta$(correct to $4$-decimal places). ______
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as show...
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Structural Analysis
gate2013-ce
numerical-answers
structural-engineering
analysis-of-beams
structural-analysis
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–
0
votes
0
answers
31
GATE Civil 2013 | Question: 31
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to given loading ________
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to give...
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Structural Analysis
gate2013-ce
numerical-answers
structural-analysis
bending-moment
structural-engineering
analysis-of-frames
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–
0
votes
0
answers
32
GATE Civil 2013 | Question: 34
Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any length anywhere on the beam. The maximum absolute value of the shear force (in $kN$) that can occur due to this loading just to the right of support $Q$ shall be $30$ $40$ $45$ $55$
Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any le...
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Structural Analysis
gate2013-ce
tructural-analysis
shear-force
structural-engineering
analysis-of-beams
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–
0
votes
0
answers
33
GATE Civil 2013 | Question: 30
Laplace equation for water flow in soils is given below. $\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = 0$ Head $H$ does not vary in $y$ and $z$ directions. Boundary conditions are: at $x=0$, $H=5$; and $\dfrac{dH}{dx}=-1$. What is the value of $H$ at $x=1.2$? __________
Laplace equation for water flow in soils is given below. $$\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = ...
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Partial Differential Equation (PDE)
gate2013-ce
numerical-answers
partial-differential-equation
laplace-equation
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–
0
votes
0
answers
34
GATE Civil 2013 | Question: 29
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______$f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \...
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Probability and Statistics
gate2013-ce
numerical-answers
probability-and-statistics
probability
probability-density-function
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–
0
votes
0
answers
35
GATE Civil 2013 | Question: 33
A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Assume the cables ABCD, BE and CF to be weightless. _______
A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Ass...
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Steel Structures
gate2013-ce
numerical-answers
steel-structures
structural-engineering
design-of-tension
cables
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–
0
votes
0
answers
36
GATE Civil 2013 | Question: 35
A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bottom face of the beamat a given section. If the effective pre- ... beam can with stand without causing tensile stress at the bottom face of of the beam? Neglect the effect of dead load of beam ______
A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bot...
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Concrete Structures
gate2013-ce
numerical-answers
concrete-structures
structural-engineering
prestressed
concrete-beams
+
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0
votes
0
answers
37
GATE Civil 2013 | Question: 36
The soil profile below a lake with water level at elevation $=0$ m and lake bottom at elevation $=-10$ m is shown in the figure, where $k$ is the permeability coefficient. A piezometer (stand pipe) installed in the sand layer shows a reading of $+10$ m elevation. Assume that the ... $2.0 \times 10^{-6}$ $1.0 \times 10^{-6}$ $0.5 \times 10^{-6}$
The soil profile below a lake with water level at elevation $=0$ m and lake bottom at elevation $=-10$ m is shown in the figure, where $k$ is the permeability coefficient...
Milicevic3306
11.9k
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Milicevic3306
asked
Mar 25, 2018
Soil Mechanics
gate2013-ce
soil-mechanics
geotechnical-engineering
permeability
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–
0
votes
0
answers
38
GATE Civil 2013 | Question: 24
For two major roads with divided carriageway crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made on turning movement of vehicles to all directions from both roads. Identify the ... left is not possible, but diverging to left is possible Neither merging from left nor diverging to left is possible
For two major roads with divided carriageway crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made o...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Transportation Infrastructure
gate2013-ce
transportation-infrastructure
transportation-engineering
geometric-design-of-highways
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–
0
votes
0
answers
39
GATE Civil 2013 | Question: 28
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is $0 \\$ $\dfrac{1}{15} \\$ $1 \\$ $\dfrac{8}{3}$
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is$0 \\$$\dfrac{1}{15} \\$$1 \\$$\dfrac{8}{3}$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Calculus
gate2013-ce
calculus
definite-integral
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–
0
votes
0
answers
40
GATE Civil 2013 | Question: 27
Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\dfrac{1}{3}$ Rule. Take the step length as $1$ _________ $\int_0^4 (x^4+10) dx$
Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\dfrac{1}{3}$ Rule. Take the step length as $1$...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2013-ce
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
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